Kinetic Alfvén waves turbulence in the Earth's magnetosphere
Phys. Plasmas 16, 102904 (2009); doi:10.1063/1.3254373
Published 28 October 2009
You are not logged in to this journal. Log in
The numerical simulations of the model equation governing the nonlinear dynamics of kinetic Alfvén waves in the intermediate-
plasmas are performed. When the nonlinearity arises due to the ponderomotive force driven density perturbations of kinetic Alfvén waves, the model equation turns out to be a modified nonlinear Schrödinger equation. This has been solved numerically by using appropriate boundary conditions. The coherent, damped magnetic filaments with turbulent spectra have been observed. Our results reveal the interesting change in spectral index because of the damping effect. The steeper power spectra follow ~k−3.4 scaling. Using the Fokker–Planck equation with the new velocity space diffusion coefficient, we find the distribution function of energetic electrons in these turbulent structures. These turbulent structures can be responsible for plasma heating in Earth's magnetosphere.
©2009 American Institute of Physics
plasmas are performed. When the nonlinearity arises due to the ponderomotive force driven density perturbations of kinetic Alfvén waves, the model equation turns out to be a modified nonlinear Schrödinger equation. This has been solved numerically by using appropriate boundary conditions. The coherent, damped magnetic filaments with turbulent spectra have been observed. Our results reveal the interesting change in spectral index because of the damping effect. The steeper power spectra follow ~k−3.4 scaling. Using the Fokker–Planck equation with the new velocity space diffusion coefficient, we find the distribution function of energetic electrons in these turbulent structures. These turbulent structures can be responsible for plasma heating in Earth's magnetosphere.
©2009 American Institute of Physics
| History: | Received 24 July 2009; accepted 1 October 2009; published 28 October 2009 |
| Permalink: |
http://link.aip.org/link/?PHPAEN/16/102904/1 |
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
1070-664X (print)
1089-7674 (online)
REFERENCES (37)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- J. R. Stefant, Phys. Fluids 13, 440 (1970).
- V. M. Chmyrev, S. V. Bilichenko, O. A. Pokhotelov, V. A. Marchenko, V. I. Lazarev, A. V. Streltsov, and L. Stenflo,
Phys. Scr. 38, 841 (1988) . - C. C. Chaston, T. D. Phan, J. W. Bonnell, F. S. Mozer, M. Acuna, M. L. Goldstein, A. Balogh, M. Andre, H. Reme, and A. Fazakerley, Phys. Rev. Lett. 95, 065002 (2005).
- D. Sundkvist, V. Krasnoselskikh, P. K. Shukla, A. Vaivad, M. André, S. Buchert, and H. Rème,
Nature (London) 436, 825 (2005) . - J. Scudder, F. Hunsacker, G. Miller, J. Lobell, T. Zawistowski, K. Ogilvie, J. Kelle, D. Chornay, F. Herrero, R. Fitzenreiter, D. Fairfield, J. Needell, D. Bodet, J. Googins, C. Kletzing, R. Torbert, J. Vandiver, R. Bentley, W. Fillius, C. Mcilwain, E. Whipple, and A. Korth,
Space Sci. Rev. 71, 459 (1995) . - P. Harvey, F. S. Mojer, D. Pankow, J. Wygant, N. C. Maynard, H. Singer, W. Sullivan, P. B. Anderson, R. Pfaff, T. Aggson, A. Pedersen, C. G. Falthammar, and T. Tanskannen,
Space Sci. Rev. 71, 583 (1995) . - J. R. Wygant, A. Keiling, C. A. Cattell, R. L. Lysak, M. Temerin, M. S. Mozer, C. A. Kletzing, J. D. Scudder, V. Streltsov, W. Lotko, and C. T. Russell,
J. Geophys. Res. 107, 1201, doi:10.1029/2001JA900113 (2002) . - A. Hasegawa,
J. Geophys. Res. 81, 5083, doi:10.1029/JA081i028p05083 (1976) . - D. Sundkvist, A. Vaivads, M. André, J. -E. Wahlund, Y. Hobara, S. Joko, V. V. Krasnoselskikh, Y. V. Bogdanova, S. C. Buchert, N. Cornilleau-Wehrlin, A. Fazakerley, J. -O. Hall, H. Rème, and G. Stenberg, Ann. Geophys. 23, 983 (2005).
- S. P. Savin, L. M. Zelenyi, S. A. Romanov, S. I. Klimov, A. A. Skalsky, A. A. Galeev, V. N. Smirnov, M. N. Nozdrachev, Yu. I. Yermolaev, L. A. Avanov, E. Amata, J. Blecki, J. Buechner, B. Nikutowski, É. M. Dubinin, Z. Nemecek, J. Safrankova, A. Pederson, J. L. Rauch, J. Rustenbach, J. A. Sauvaud, P. Song, and K. Stasiewicz,
JETP Lett. 74, 547 (2001) . - G. Zimbardo, A. Greco, P. Veltri, Z. Voros, and A. L. Taktakishvili, Astrophys. Space Sci. 4, 35 (2008).
- P. Frycz, R. Rankin, J. C. Samson, and V. T. Tikhonchuk, Phys. Plasmas 5, 3565 (1998).
- J. Y. Lu, R. Rankin, R. Marchand, V. T. Tikhonchuk, and J. Wanliss,
J. Geophys. Res. 108, 1394, doi:10.1029/2003JA010035 (2003) . - O. Alexandrova, A. Mangeney, M. Maksimovic, and C. Lacombe,
J. Geophys. Res. 109, A05207, doi:10.1029/2003JA010056 (2004) . - S. Champeaux, T. Passot, and P. -L. Sulem,
J. Plasma Phys. 58, 665 (1997) . - S. Champeaux, T. Passot, and P. -L. Sulem, Phys. Plasmas 5, 100 (1998).
- M. Suzuki and J. I. Sakai,
Sol. Phys. 178, 43 (1998) . - P. M. Bellan and K. Stasiewicz, Phys. Rev. Lett. 80, 3523 (1998).
- P. K. Shukla and L. Stenflo, Phys. Plasmas 6, 4120 (1999).
- P. K. Shukla and L. Stenflo, Phys. Plasmas 7, 2738 (2000).
- A. Shukla and R. P. Sharma, Phys. Plasmas 8, 3759 (2001).
- A. Shulka and R. P. Sharma,
J. Geophys. Res. 107 (A11), 1338, doi:10.1029/2001JA009135 (2002) . - A. Shulka, R. P. Sharma, and M. Malik, Phys. Plasmas 11, 2068 (2004).
- H. D. Singh and R. P. Sharma, Phys. Plasmas 13, 012902 (2006).
- P. K. Shukla, L. Stenflo, and R. Bingham, Phys. Plasmas 6, 1677 (1999).
- A. Hasegawa and L. Chen, Phys. Fluids 19, 1924 (1976).
- G. S. Lakhina,
Astrophys. Space Sci. 165, 153 (1990) . - R. J. Leamon, C. W. Smith, N. F. Ness, W. H. Matthaeus, and H. K. Wong,
J. Geophys. Res. 103, 4775, doi:10.1029/97JA03394 (1998) . - F. Sahraoui, M. L. Goldstein, P. Robert, and Y. V. Khotyaintsev, Phys. Rev. Lett. 102, 231102 (2009).
- K. Stasiewicz, R. Lundin, and B. Hultqvist,
Geophys. Res. Lett. 14, 447, doi:10.1029/GL014i004p00447 (1987) . - K. Stasiewicz, Y. Khotyaintsev, and M. Grzesiak,
Phys. Scr., T T107, 171 (2004) . - K. Stasiewicz, C. E. Seyler, F. S. Mozer, G. Gustafsson, J. Pickett, and B. Popielawska,
J. Geophys. Res. 106, 29503, doi:10.1029/2001JA900055 (2001) . - K. Nykyri, B. Grison, P. J. Cargill, B. Lavraud, E. Lucek, I. Dandouras, A. Balogh, N. Cornilleau-Wehrlin, and H. Reme, Ann. Geophys. 24, 1057 (2006).
- S. Ichimaru, Basic Principles of Plasma Physics (Benjamin, Reading, 1973), Chap. 1.
- W. Rozmus, R. P. Sharma, J. C. Samson, and W. Tighe, Phys. Fluids 30, 2181 (1987).
- J. Blecki, R. Wronowski, S. Savin, N. Cornilleau-Wehrlin, M. Parrot, Z. Nemecek, J. Safrankova, O. Santolik, K. Kudela, and J. -A. Sauvaud,
Surv. Geophys. 26, 177 (2005) . - C. E. J. Watt and R. Rankin, Phys. Rev. Lett. 102, 045002 (2009).







